Properties of the Number 74580

Seventy-Four Thousand Five Hundred Eighty

Basics

Value: 74579 → 74580 → 74581

Parity: even

Prime: No

Previous Prime: 74573

Next Prime: 74587

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 11 × 113

Divisors: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001101010100

Octal: 221524

Duodecimal: 371B0

Hexadecimal: 12354

Square: 5562176400

Square Root: 273.09339061939966

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Partial sums of A001891. A53808

a(n) = A000045(n+6) - (n² + 4·n + 8). A163250

Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent cycles (0 <= k <= n). An adjacent cycle is a cycle of the form (i, i+1, i+2, ...) (including 1-element cycles). A184184

Smallest number k such that k·n +/- 1, k·n² +/- 1, and k·n³ +/- 1 are three sets of twin primes. a(n) = 0 if no such number exists. A239021

a(n) = 7ⁿ + 8ⁿ + 9ⁿ. A74580

Number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and having no pyramids (a pyramid is a sequence u^pd^p or U^pd^2p for some positive integer p, starting at the x-axis). A108449